LCM of 557, 119, 557, 850, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 119, 557, 850, 438 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 557, 119, 557, 850, 438. So, keep reading to learn more.
Given numbers are 557,119,557,850,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,119,557,850,438 is 725798850.
Find LCM of 557,119,557,850,438 with Prime Factorization
| 2 | 557, 119, 557, 850, 438 |
| 17 | 557, 119, 557, 425, 219 |
| 557 | 557, 7, 557, 25, 219 |
| 1, 7, 1, 25, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 557 x 1 x 7 x 1 x 25 x 219 = 725798850
Therefore, the lowest common multiple of 557,119,557,850,438 is 725798850.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
557 x 119 x 557 x 850 x 438 = 13745178621300
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
557 : 1, 557
119 : 1, 7, 17, 119
557 : 1, 557
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,119,557,850,438, is 1.
Now, the common factors can be found like this.
557:557
119:7x 17
557:557
850:2x 5x 5x 17
438:2x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 557 = 18938
Therefore, the value for common factors is 18938.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 13745178621300/(1x18938)
LCM = 13745178621300/18938
LCM = 725798850
Thus, we can understand that the LCM of 557,119,557,850,438 is 725798850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 557, 119, 557, 850, 438
1. What is the LCM of 557, 119, 557, 850, 438?
Answer: LCM of 557, 119, 557, 850, 438 is 725798850.
2. How to calculate the LCM of 557, 119, 557, 850, 438?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 557, 119, 557, 850, 438.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.